Results 21 to 30 of about 68,515 (199)

Elementary abelian operator groups [PDF]

Bulletin of the Australian Mathematical Society, 1972
Suppose G is a finite solvable p′-group admitting the elementary abelian p–group A as an operator group. if n = max{nilpotent length of CG(X)| X ∈ A#} and |A| ≥ pn+2, then the nilpotent length of G is n.
openaire   +2 more sources

Modular invariants detecting the cohomology of BF_4 at the prime 3 [PDF]

, 2007
Attributed to J F Adams is the conjecture that, at odd primes, the mod-p cohomology ring of the classifying space of a connected compact Lie group is detected by its elementary abelian p-subgroups.
Broto, Carles
core   +3 more sources

Wielandt′s Theorem and Finite Groups with Every Non-nilpotent Maximal Subgroup with Prime Index

Journal of Harbin University of Science and Technology, 2023
In order to give a further study of the solvability of a finite group in which every non-nilpotent maximal subgroup has prime index, the methods of the proof by contradiction and the counterexample of the smallest order and a theorem of Wielandt on the ...
TIAN Yunfeng, SHI Jiangtao, LIU Wenjing
doaj   +1 more source

An approach to Quillen’s conjecture via centralisers of simple groups

Forum of Mathematics, Sigma, 2021
For any given subgroup H of a finite group G, the Quillen poset ${\mathcal {A}}_p(G)$ of nontrivial elementary abelian p-subgroups is obtained from ${\mathcal {A}}_p(H)$ by attaching elements via their centralisers in H.
Kevin Iván Piterman
doaj   +1 more source

Sum structures in abelian groups

Examples and Counterexamples, 2023
Any set S of elements from an abelian group produces a graph with colored edges G(S), with its points the elements of S, and the edge between points P and Q assigned for its “color” the sum P+Q.
Robert Haas
doaj   +1 more source

Rings associated to coverings of finite p-groups [PDF]

, 2016
In general the endomorphisms of a non-abelian group do not form a ring under the operations of addition and composition of functions. Several papers have dealt with the ring of functions defined on a group which are endomorphisms when restricted to the ...
Walls, Gary, Wang, Linhong
core   +1 more source

Solvable intransitive permutation groups with constant movement [PDF]

Journal of Mahani Mathematical Research
In this paper, all solvable intransitive permutation groups with constant movement are classified and we show that they are one of the following groups: a cyclic $p$-group, an elementary abelian $p$-group, a Frobenius group of order 12 or a Frobenius ...
Mehdi Rezaei, Mehdi Alaeiyan, Zeinab Foruzanfar   +2 more
doaj   +1 more source

2-elements in an Autotopism Group of a Semifield Projective Plane

Известия Иркутского государственного университета: Серия "Математика", 2022
We investigate the well-known hypothesis of D.R. Hughes that the full collineation group of non-Desarguesian semifield projective plane of a finite order is solvable (the question 11.76 in Kourovka notebook was written down by N.D. Podufalov). The spread
Olga Kravtsova
doaj   +1 more source

The torsion subgroup of the additive group of a Lie nilpotent associative ring of class 3 [PDF]

, 2013
Let $\mathbb Z \langle X \rangle$ be the free unital associative ring freely generated by an infinite countable set $X = \{ x_1,x_2, \dots \}$. Define a left-normed commutator $[x_1,x_2, \dots, x_n]$ by $[a,b] = ab - ba$, $[a,b,c] = [[a,b],c]$.
Deryabina, Galina, Krasilnikov, Alexei
core   +1 more source

Transform Domain Characterization of Dual Group Codes of Cyclic Group Codes over Elementary Abelian Groups

Sultan Qaboos University Journal for Science, 2009
The group of characters of an elementary Abelian group  has been used to define duality between its subgroups, which in turn is extended to duality between group codes.
Adnan Abdulla Zain
doaj   +1 more source